ProblemOne newly discovered light particle has a mass of m and property q. Suppose it moves within the vicinity of an extremely heavy (fixed in place) particle with a property Q and mass M. When the light particle is xi distance from the heavy particle, it is moving directly away from theheavy particle with a speed of vi. a) What is the lighter particle's speed when it is xf away from the heavy particle?Am¡m2Consider a new expression for gravitation potential energy as: PEgrav=, where A is a constant, m, and m, are the masses of the two objects, and r is the distance between them.Moreover, the new particle has an additional interaction with the heavy particle through the following force expression1Fnew =4TE0 r2qQwhere Eg is a constant that is read as epsilon subscript 0, q and Q are their new properties, r is the distance between the new particle and the heavy particle.Solution:We may solve this using two approaches. One involves the Newton's Laws and the other involving Work-Energy theorem.To avoid the complexity of vector solution, we will instead employ the Work-Energy theorem, more specifically, the Conservation of Energy Principle.Let us first name the lighter particle as object 1 and the heavy particle as object 2.Through work-energy theorem, we will take into account all of the energy of the two-charged particle system before and after traveling a certain distance asKE1F + KE2F + PEgravf + Velasticf + Unewf = KE11 + KE2¡ + PEgravi ++ UnewiSince the heavy particle remains fixed, beforeafter the motion of the lighter particle, it does not have any velocity, moreover, there is no spring involved, soKE1F ++ Unewf =+ Unewi(Equation 1)For all energies, we know the following1KE =mv Am¡m2PEgrav =rU elastic = kxkx²Unew = (1/where in we havem1 = m, m2 = M, q1 = q and q2 = QBy substituting all these to Equation 1 and then simplifying results to= sgrt(2 + ( (m ) -) - (1/x) ) +VTake note that capital letters have different meaning than small letter variables/constants.

Name: ProblemOne newly discovered light particle has a mass of m and proper
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: ProblemOne newly discovered light particle has a mass of m and property q. Suppose it moves within the vicinity of an extremely heavy (fixed in place) particle with a property Q and mass M. When the light particle is xi distance from the heavy parti

Answered: Image /qna-images/answer/84946d71-814d-4efc-936b-b1ff2e6753db.jpg

Science

Physics

One newly discovered light particle has a mass of m and property q. Suppose it moves within the vicinity of an extremely heavy (fixed in place) particle with a property Q and mass M. When the light particle is xi distance from the heavy particle, it is moving directly away from the heavy particle with a speed of vi. a) What is the lighter particle's speed when it is xf away from the heavy particle? Am,m2

One newly discovered light particle has a mass of m and property q. Suppose it moves within the vicinity of an extremely heavy (fixed in place) particle with a property Q and mass M. When the light particle is xi distance from the heavy particle, it is moving directly away from the heavy particle with a speed of vi. a) What is the lighter particle's speed when it is xf away from the heavy particle? Am,m2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

3. Consider the following two types of completely inelastic collisions between Турe A two identical masses, m. Type A: a m m particle of mass m and velocity v strikes V a stationary target consisting of an identical particle of mass m. Type B: Туре В each particle has a mass m and a speed m m v/(22) – in this case they collide head v/2/2 V/22 on. Ignore gravity, and express your answers in terms of m and v. A. What is the speed of the center of mass for type A, and for type B collisions (before the collision occurs)? What the center of mass speed after the collision for each type of collision. Justify your answers. В. ( What is the change in the total kinetic energy for type A and type B ?
Suppose a spacecraft is moving in free space with a constant velocity of magnitude 0.25 c relative to an observer. An astronaut onboard the spacecraft sends out two light beams, What is the velocity of the craft's motion? Choices: a. - c b. +c c. 0.25 c d. - 25 c
A mass ma = 2kg slides down slippery ramp, reaching a speed v = 10 m/s at the bottom. After reaching the level ground ma collides with mass mg = perfectly inelastic collision. 3kg at bottom, sticking together in a a.) What was the height of the ramp, assuming that m, started from rest? b.) How fast were the combined masses ma and mg moving after sticking together? c.) The combined mass runs into a spring, which brings it to a stop after being compressed 7 cm. What is the spring constant k ?
Two particles A and B, initially at rest, move towards each other under mutual force of attraction. At the instant when the speed of A is v and the speed of B is 2v, what is the speed of mass of the system? a) 3v b) v c) Zero d) 1.5v
A rocket with a proper length of 1500 m moves at a speed of 0.87c directly away from an observer on earth. an astronaut standing at the centre of the rocket fires two electrons at a speed 0.99c through a vacuum pipe. One electron is aimed toward the centre of the rocket, the other toward the rear. a. In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b. In the Earth observer's frame, calculate the length of the rocket, and the speed of the two electrons moving towards the front and the rear of the rocket.
The sun generates energy through nuclear fusion, which converts mass intoenergy. If the sun radiates 3.8 × 1026 W of power, calculate the rate at which the sun loses mass (i.e., kg/s). _________×109kg/s ? Compare the energy produced per kg of fuel for the combustion of coal, d-d fusion and d-t fusion.d-d: __________ ×107 MJ/kg?d-t: ___________×108 MJ/kg ? The age of the sun has been estimated at 4.6 billion years. If it has radiatedenergy at the same rate throughout its lifetime, 3.8×1026 W and if its current mass is1.989×1030 kg, what fraction of its original mass has been lost _____________% ?
Question 14 Particle A has 16 times the mass of particle B, but they both have the same value for the kinetic energy. What is the ratio of their speeds V,/V,? (PAMP1435F20) a) 04 b) O1 c) O32 d) O 64 e) O 16
Multiple-Concept Example 6 reveiws the principles that play a role in this problem. A nuclear power reactor generates 3.8 × 10° W of power. In one year (365.25 days), what is the change in the mass of the nuclear fuel due to the energy being taken from the reactor? Number i Units
In the four momentum treatment of relativistic particle collisions or decays, The mass of a particle is different for various observers. O Momentum and energy are still conserved in any inertial frame of reference. O The energy equals the sum of the momentum, pc, plus the mass, mc2. O The momentum and energy for a process are the same in all frames of reference.
Particle A has half the mass and eight times the kinetic energy of particle B. Part A What is the speed ratio VA/VB? VA/VB = Submit ——| ΑΣΦ VE Request Answer ?
A small asteroid that has a mass of 150 kg is moving at 500 m/s when it is 950 km above the surface of the Moon. The radius of the Moon is 1.737E6 m and the mass of the Moon is 7.350E22 kg. a.How fast will the meteorite be traveling when it impacts the lunar surface if it is heading straight toward the center of the moon? b.The atmosphere of the Moon is negligible. How much work does the Moon do in stopping the asteroid?
1.Suppose you throw a rubber ball at an elephant that ischarging directly at you (not a good idea). When the ballbounces back toward you, is its speed greater than, less than, orequal to the speed with which you threw it? Explain and draws.